@inproceedings{76802ec2f7a64bbfaa77e2261bfd7c4d,
title = "Asymptotically optimal regenerating codes over any field",
abstract = "The study of regenerating codes has advanced tremendously in recent years. However, most known constructions require large field size, and hence may be hard to implement in practice. In this paper, by using notions from field theory and matrix analysis to restructure known coding techniques, two explicit constructions of regenerating codes are obtained. These codes approach the cut-set bound as the reconstruction degree increases, and may be realized over any given field if the file size is large enough. Since distributed storage systems are the main purpose of regenerating codes, this file size restriction is trivially satisfied in most conceivable scenarios. The first construction attains the cut-set bound at the MBR point asymptotically for all parameters, whereas the second one attains the cut-set bound at the MSR point asymptotically for low-rate parameters.",
keywords = "Cyclotomic Cosets, Distributed Storage Systems, Extension Fields, Kronecker Products, Regenerating Codes",
author = "Netanel Raviv",
note = "Publisher Copyright: {\textcopyright} 2017 IEEE.; 2017 IEEE International Symposium on Information Theory, ISIT 2017 ; Conference date: 25-06-2017 Through 30-06-2017",
year = "2017",
month = aug,
day = "9",
doi = "10.1109/ISIT.2017.8006762",
language = "English",
series = "IEEE International Symposium on Information Theory - Proceedings",
publisher = "Institute of Electrical and Electronics Engineers",
pages = "1416--1420",
booktitle = "2017 IEEE International Symposium on Information Theory, ISIT 2017",
address = "United States",
}